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Finding the Fourth Proportional to 30,705, 46,033.02 and 15,916.20

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Solution

The fourth proportional to 30,705, 46,033.02 and 15,916.20 is: 23,861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705 : 46,033.02 = 15,916.20 : x
  2. Step 2: Convert to fraction form
    30,705/46,033.02 = 15,916.20/x
  3. Step 3: Cross multiply
    30,705x = 46,033.02 × 15,916.20
  4. Step 4: Simplify right side
    30,705x = 732,670,752.92
  5. Step 5: Solve for x
    x = 732,670,752.92/30,705
  6. Step 6: Final answer
    x = 23,861.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.